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Finding the Fourth Proportional to 2,942.38, 4,412.82 and 861.82

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Solution

The fourth proportional to 2,942.38, 4,412.82 and 861.82 is: 1,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.38 : 4,412.82 = 861.82 : x
  2. Step 2: Convert to fraction form
    2,942.38/4,412.82 = 861.82/x
  3. Step 3: Cross multiply
    2,942.38x = 4,412.82 × 861.82
  4. Step 4: Simplify right side
    2,942.38x = 3,803,056.53
  5. Step 5: Solve for x
    x = 3,803,056.53/2,942.38
  6. Step 6: Final answer
    x = 1,292.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.